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Finding the Fourth Proportional to 77,672.38, 107,186.87 and 43,680.86

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Solution

The fourth proportional to 77,672.38, 107,186.87 and 43,680.86 is: 60,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,672.38 : 107,186.87 = 43,680.86 : x
  2. Step 2: Convert to fraction form
    77,672.38/107,186.87 = 43,680.86/x
  3. Step 3: Cross multiply
    77,672.38x = 107,186.87 × 43,680.86
  4. Step 4: Simplify right side
    77,672.38x = 4,682,014,662.31
  5. Step 5: Solve for x
    x = 4,682,014,662.31/77,672.38
  6. Step 6: Final answer
    x = 60,279.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.